Question

Find the measures of two complementary angles if the difference in the measures of the two angles is 14

Answer 1

Complementary angles add to 90 degrees
so let's say they are x and y
and x>y

x+y=90

the differenc is 14
x-y=14
neat

x-y=14
add y to both sides
x=14+y
subsitut 14+y for x in other equation

x+y=90
14+y+y=90
14+2y=90
minus 14 both sides
2y=76
divide both sides by 2
y=38
sub back


x=14+y
x=14+38
x=52


the 2 angles measure 38 degrees and 52 degrees

Answer 2

Complementary angles are angles that measure up to 90 degrees.

To find the measures of the two angles, divide 90 by two to say two angles of 45 degrees. Now divide 14 by 2, which you get 7 with. Now add 7 to 45 and subtract it from 45 as well, to get 52 and 38.

The measures of the angles are 52 degrees and 38 degrees.